Unraveling the origin of the complex structure of the thorium Lγ x-ray lines in high-resolution spectra induced by heavy projectiles

The origin of the complex structure of $L{\ensuremath{\gamma}}_{1}$ $({L}_{2}{N}_{4})$, $L{\ensuremath{\gamma}}_{2}$ $({L}_{1}{N}_{2})$, $L{\ensuremath{\gamma}}_{3}$ $({L}_{1}{N}_{3})$, and $L{\ensuremath{\gamma}}_{6}$ $({L}_{2}{O}_{4})$ x-ray lines of thorium in high-resolution spectra induced by oxygen projectiles has so far resisted reliable quantitative interpretation. Therefore, the detailed structure predictions for satellite (additional holes in $M,N,O$, and/or $P$ shells) and hypersatellite (additional hole in $L$ shell) $L\ensuremath{\gamma}$ x-ray lines of thorium being the results of extensive multiconfiguration Dirac-Fock calculations have been performed. Our predictions reproduce with the excellent precision the positions and shapes of characteristic parts of above high-resolution $L\ensuremath{\gamma}$ x-ray spectrum of thorium what indicates that our study has been carried out with very high accuracy. The results of this study are the precursor for proper quantitative interpretation of the complex origin of $L{\ensuremath{\gamma}}_{1},L{\ensuremath{\gamma}}_{2},L{\ensuremath{\gamma}}_{3}$, and $L{\ensuremath{\gamma}}_{6}$ lines in high-resolution x-ray spectra of thorium induced by different light and heavy projectiles.